Question

How do you convert $\dfrac{1}{3}$ into a decimal and percent?

Answer 1

Hint:
All the values which are in the form of $\dfrac{p}{q}$ called fraction or rational numbers where $q \ne 0$.Fractions are divided into part one part is numerator $\left( p \right)$ and other part is denominator $\left( q \right)$.

Complete step by step solution:
Given that –
Fraction $ = \dfrac{1}{3}$
We know that we can multiply by $1$ in any number , therefore we will multiply $\dfrac{1}{3}$ by $1$
Now we can write it as $1 \times \left( {\dfrac{1}{3}} \right)$
Now we will write it as $\left( 1 \right) \times \left( {\dfrac{1}{3}} \right)$
Now will divide $1$ by $3$
We will divide it as a normal divide as we do now $3\left){\vphantom{11}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{1}}$
Now we will write it as $3\left){\vphantom{1{1000}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{1000}}}$
Now we will divide it then we get $3\mathop{\left){\vphantom{1{\dfrac{{1000}}{9}}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{\dfrac{{1000}}{9}}}}}
\limits^{\displaystyle \,\,\, {0.333}}$
Now we got decimal form of $\dfrac{1}{3}$ which is $0.333$ and we will multiply it with $(1)$ which we got in the question with it
Therefor the decimal form of $\dfrac{1}{3}$ is $(1) \times (0.333) = 0.333$
Now we will change the \[\dfrac{1}{3}\] into the Percent
Now for changing in the form of percent we will use the converted fraction which we got in above solution
Now we will multiply $\dfrac{1}{3}$ by $100$
$\dfrac{1}{3} \times 100 = 33.3\% $ $$

Therefore the percentage form of $\dfrac{1}{3}$ is the $33.3\% $.

Note:
When we divide any number if the dividend is less than the divisor then we add zeros in the last of the dividend so we can divide easily and put a point before the quotient.